Question

find the HCF of 24,60 ,48 and108​

Answer 1

Answer:

HCF of 24 , 60 , 48 , 108 is 12

Step-by-step explanation:

24 = 2 x 2 x 2 x 3  = 2³ x 3¹

60 = 2 x 2 x 3 x 5 = 2² x 3¹ x 5¹

48 = 2 x 2 x 2 x 2 x 3 = 2⁴ x 3¹

108 = 2 x 2 x 3 x 3 x 3 = 2² x 3³

we know that HCF of the numbers is equal to product of lowest powers of the common factors in the numbers

common factors in the numbers 24, 60 , 48 , 108 are 2 , 3

lowest power of 2 is 2²

lowest power of 3 is 3¹

so HCF of 24 , 60 , 48 , 108 = 2² x 3¹ = 4 x 3 = 12

Therefore HCF of 24 , 60 , 48 , 108 is 12